## Related questions with answers

Question

For the given problem, determine the equations of the polynomials of degree two whose graphs pass through the given points.

$(-1,-1),(0,1),(1,-3)$

Determine the value of $y$ when $x=3.$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6We are given the points $(-1,-1)$, $(0,1)$ and $(1,-3)$. We can write the second-degree polynomial as

$y=a_0+a_1x+a_2x^2.$

Taking the points given to us we can then write the following.

For $(-1,-1)$ we get $x=-1$ and $y=-1$. For $(0,1)$ we get $x=0$ and $y=1$. For $(1,-3)$ we get $x=1$ and $y=-3$.

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